What is the Least Common Multiple of 73147 and 73160?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 73147 and 73160 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73147 and 73160, than apply into the LCM equation.

GCF(73147,73160) = 1
LCM(73147,73160) = ( 73147 × 73160) / 1
LCM(73147,73160) = 5351434520 / 1
LCM(73147,73160) = 5351434520

Least Common Multiple (LCM) of 73147 and 73160 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73147 and 73160. First we will calculate the prime factors of 73147 and 73160.

Prime Factorization of 73147

Prime Factorization of 73160

Now multiplying the highest exponent prime factors to calculate the LCM of 73147 and 73160.

LCM(73147,73160) = 193¹ × 379¹ × 2³ × 5¹ × 31¹ × 59¹
LCM(73147,73160) = 5351434520